Question: E LDC N 10. (25 points) Suppose that a scientist takes a simple random sample of 18 students and gives them an IQ test before

E LDC N 10. (25 points) Suppose that a scientist takes a simple random sample of 18 students and gives them an IQ test before a large lunch and then an IQ test after the meal. The differences in scores for each student is then computed yielding a mean of = = 2.1 and a standard deviation of s = 4.01 for the differences. The sample distribution was found to be sufficiently normal. Is there sufficient evidence to suggest that there is a difference in the average IQ scores? Perform a hypothesis test at a significance level of a = 0.05 with a two-sided alternative hypothesis (make sure to state assumptions and hypotheses)

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